janetvr23
janetvr23
07-10-2017
Mathematics
contestada
Find the area of the hexagon with steps please
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Floki22
Floki22
07-10-2017
[tex]\mathsf{r=h_{\Delta}}\\ \\ \mathsf{12=\dfrac{l\sqrt{3}}{2}}\\ \\ \mathsf{l\sqrt{3}=2\cdot12}\\ \\ \mathsf{l=\dfrac{24}{\sqrt{3}}}\\ \\ \\ \boxed{\mathsf{l=8\sqrt{3}~cm}}[/tex]
And now:
[tex]\mathsf{A_h=\dfrac{6\cdot l^2\sqrt{3}}{4}}\\ \\ \\ \mathsf{A_h=\dfrac{3\cdot(8\sqrt{3})^2\cdot\sqrt{3}}{2}}\\ \\ \\ \mathsf{A_h=3\cdot32\cdot3\cdot\sqrt{3}}\\ \\ \\ \boxed{\mathsf{A_h=288\sqrt{3}~cm^2}}[/tex]
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